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arxiv: 1608.01570 · v1 · pith:LGXUFU3Enew · submitted 2016-08-04 · 🧮 math.GT

Meridional Rank of Knots Whose Exterior is a Graph Manifold

classification 🧮 math.GT
keywords knotsclassexteriorgraphmanifoldmeridionalrankwhose
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We prove for a large class of knots that the meridional rank coincides with the bridge number. This class contains all knots whose exterior is a graph manifold. This gives a partial answer to a question of S. Cappell and J. Shaneson, see problem 1.11 on Kirby's list.

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